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Computing minimal optimization horizons for stabilizing unconstrained MPC schemes
Author(s) -
Grüne Lars
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700203
Subject(s) - controllability , computation , model predictive control , horizon , terminal (telecommunication) , nonlinear system , new horizons , control theory (sociology) , mathematical optimization , mathematics , key (lock) , computer science , control (management) , algorithm , engineering , artificial intelligence , physics , geometry , computer security , quantum mechanics , telecommunications , spacecraft , aerospace engineering
We present a method for the computation of minimal stabilizing optimization horizons in MPC schemes without stabilizing terminal constraints. The method applies to general nonlinear control systems satisfying a controllability assumption. Key idea is the formulation of a small linear program whose solution determines the minimal horizon. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)